Side Slope of Section given Wetted Area of Trapezoidal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Side slope of Trapezoidal Channel = ((Wetted Surface Area of Trapezoidal Channel/Depth of Flow of Trapezoidal Channel)-Width of Trap Channel)/Depth of Flow of Trapezoidal Channel
ztrap = ((STrap/df(trap))-Btrap)/df(trap)
This formula uses 4 Variables
Variables Used
Side slope of Trapezoidal Channel - Side slope of Trapezoidal Channel is side slope of trapezoidal channel, defined as horizontal to vertical ratio.
Wetted Surface Area of Trapezoidal Channel - (Measured in Square Meter) - Wetted Surface Area of Trapezoidal Channel [length^2] is the total area of outer surface in contact with the surrounding water.
Depth of Flow of Trapezoidal Channel - (Measured in Meter) - Depth of Flow of Trapezoidal Channel is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights.
Width of Trap Channel - (Measured in Meter) - Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration.
STEP 1: Convert Input(s) to Base Unit
Wetted Surface Area of Trapezoidal Channel: 18.86 Square Meter --> 18.86 Square Meter No Conversion Required
Depth of Flow of Trapezoidal Channel: 3.32 Meter --> 3.32 Meter No Conversion Required
Width of Trap Channel: 3.8105 Meter --> 3.8105 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
ztrap = ((STrap/df(trap))-Btrap)/df(trap) --> ((18.86/3.32)-3.8105)/3.32
Evaluating ... ...
ztrap = 0.563320148062128
STEP 3: Convert Result to Output's Unit
0.563320148062128 --> No Conversion Required
FINAL ANSWER
0.563320148062128 0.56332 <-- Side slope of Trapezoidal Channel
(Calculation completed in 00.020 seconds)

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Geometrical Properties of Trapezoidal Channel Section Calculators

Wetted Perimeter for Trapezoidal
​ LaTeX ​ Go Wetted Perimeter of Trapezoidal Channel = Width of Trap Channel+2*Depth of Flow of Trapezoidal Channel*(sqrt(Side slope of Trapezoidal Channel*Side slope of Trapezoidal Channel+1))
Side Slope of Section given Wetted Area of Trapezoidal
​ LaTeX ​ Go Side slope of Trapezoidal Channel = ((Wetted Surface Area of Trapezoidal Channel/Depth of Flow of Trapezoidal Channel)-Width of Trap Channel)/Depth of Flow of Trapezoidal Channel
Width of Section given Wetted Area for Trapezoidal
​ LaTeX ​ Go Width of Trap Channel = (Wetted Surface Area of Trapezoidal Channel/Depth of Flow of Trapezoidal Channel)-(Side slope of Trapezoidal Channel*Depth of Flow of Trapezoidal Channel)
Wetted Area for Trapezoidal
​ LaTeX ​ Go Wetted Surface Area of Trapezoidal Channel = (Width of Trap Channel+Side slope of Trapezoidal Channel*Depth of Flow of Trapezoidal Channel)*Depth of Flow of Trapezoidal Channel

Side Slope of Section given Wetted Area of Trapezoidal Formula

​LaTeX ​Go
Side slope of Trapezoidal Channel = ((Wetted Surface Area of Trapezoidal Channel/Depth of Flow of Trapezoidal Channel)-Width of Trap Channel)/Depth of Flow of Trapezoidal Channel
ztrap = ((STrap/df(trap))-Btrap)/df(trap)

What is Trapezoidal Section?

Trapezoidal Channel is an open channel with a trapezoidal cross section where both sides have the same slope. The flow routing through a Channel Connection is described in Analysis of Connections. Parameters to specify: Length, Slope, Manning's n, Diameter/Base Width, Height, Side Slope.

How to Calculate Side Slope of Section given Wetted Area of Trapezoidal?

Side Slope of Section given Wetted Area of Trapezoidal calculator uses Side slope of Trapezoidal Channel = ((Wetted Surface Area of Trapezoidal Channel/Depth of Flow of Trapezoidal Channel)-Width of Trap Channel)/Depth of Flow of Trapezoidal Channel to calculate the Side slope of Trapezoidal Channel, The Side Slope of Section given Wetted Area of Trapezoidal is defined as the channel elevation from sides saying to be non parallel sides. Side slope of Trapezoidal Channel is denoted by ztrap symbol.

How to calculate Side Slope of Section given Wetted Area of Trapezoidal using this online calculator? To use this online calculator for Side Slope of Section given Wetted Area of Trapezoidal, enter Wetted Surface Area of Trapezoidal Channel (STrap), Depth of Flow of Trapezoidal Channel (df(trap)) & Width of Trap Channel (Btrap) and hit the calculate button. Here is how the Side Slope of Section given Wetted Area of Trapezoidal calculation can be explained with given input values -> 0.577167 = ((18.86/3.32)-3.8105)/3.32.

FAQ

What is Side Slope of Section given Wetted Area of Trapezoidal?
The Side Slope of Section given Wetted Area of Trapezoidal is defined as the channel elevation from sides saying to be non parallel sides and is represented as ztrap = ((STrap/df(trap))-Btrap)/df(trap) or Side slope of Trapezoidal Channel = ((Wetted Surface Area of Trapezoidal Channel/Depth of Flow of Trapezoidal Channel)-Width of Trap Channel)/Depth of Flow of Trapezoidal Channel. Wetted Surface Area of Trapezoidal Channel [length^2] is the total area of outer surface in contact with the surrounding water, Depth of Flow of Trapezoidal Channel is the distance from the top or surface of the flow to the bottom of a channel or other waterway or Depth of Flow at the Vertical while measuring Sound Weights & Width of Trap Channel is the width of the trapezoidal cross-section of the beam parallel to the axis in consideration.
How to calculate Side Slope of Section given Wetted Area of Trapezoidal?
The Side Slope of Section given Wetted Area of Trapezoidal is defined as the channel elevation from sides saying to be non parallel sides is calculated using Side slope of Trapezoidal Channel = ((Wetted Surface Area of Trapezoidal Channel/Depth of Flow of Trapezoidal Channel)-Width of Trap Channel)/Depth of Flow of Trapezoidal Channel. To calculate Side Slope of Section given Wetted Area of Trapezoidal, you need Wetted Surface Area of Trapezoidal Channel (STrap), Depth of Flow of Trapezoidal Channel (df(trap)) & Width of Trap Channel (Btrap). With our tool, you need to enter the respective value for Wetted Surface Area of Trapezoidal Channel, Depth of Flow of Trapezoidal Channel & Width of Trap Channel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Side slope of Trapezoidal Channel?
In this formula, Side slope of Trapezoidal Channel uses Wetted Surface Area of Trapezoidal Channel, Depth of Flow of Trapezoidal Channel & Width of Trap Channel. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Side slope of Trapezoidal Channel = sqrt((((Wetted Perimeter of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel))^2)-1)
  • Side slope of Trapezoidal Channel = (Top Width of Trapezoidal Channel-Width of Trap Channel)/(2*Depth of Flow of Trapezoidal Channel)
  • Side slope of Trapezoidal Channel = (Width of Trap Channel*Depth of Flow of Trapezoidal Channel-Width of Trap Channel*Hydraulic Depth of Trapezoidal Channel)/(2*Hydraulic Depth of Trapezoidal Channel*Depth of Flow of Trapezoidal Channel-(Depth of Flow of Trapezoidal Channel)^2)
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